Answer: B
Step-by-step explanation:
∠a and ∠b are complementary angles. Complementary angles are two angles adjacent to each other that add up to 90°. We know this is true because of the 90° angle that is labelled.
Vertical angles are not adjacent to each other. They are across from each other, connected by the angle. They are equal in angles. It is clear that ∠a and ∠b are not equal in angles. Therefore, they are complementary angles.
You have to didve the numbers
Answer:
The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14
Step-by-step explanation:
To find this, we must first find the slope of the original line. We can do this by solving for y.
5x + 3y = 8
3y = -5x + 8
y = -5/3x + 8/3
Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.
y - y1 = m(x - x1)
y + 9 = -5/3(x + 3)
y + 9 = -5/3x - 5
y = -5/3x - 14
Then to get the function notation, we need to replace the y with f(x).
f(x) = -5/3x - 14
Question:
Solution:
Let the function
![y=f(x)\text{ = }\sqrt[]{x}-9](https://tex.z-dn.net/?f=y%3Df%28x%29%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7Bx%7D-9)
Now remember the following rule:
To graph y = f(cx)
if 0 < c < 1 , stretch the graph of y = f(x) horizontally by a factor of 1/c.
Thus, applying this to the given function, with c = 3, we can conclude that the correct answer is:
![y=f(x)\text{ = }\sqrt[]{\frac{1}{3}x}-9](https://tex.z-dn.net/?f=y%3Df%28x%29%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%5Cfrac%7B1%7D%7B3%7Dx%7D-9)
<h3>
Answer: -3/4 (choice C)</h3>
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Explanation:
Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.
Adding on another quarter slice gets us 4/4+1/4 = 5/4
In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.
So 1 & 1/4 = 5/4
This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.
Now we'll add on 1/2, which is the same as 2/4, like so
(-1 & 1/4) + 1/2
-(1 & 1/4) + 2/4
-(1 + 1/4) + 2/4
-1 - 1/4 + 2/4
-1 + (-1/4 + 2/4)
-1 + 1/4
-4/4 + 1/4
-3/4
which points us to choice C as our final answer
Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.
Side note: -3/4 converts to the decimal -0.75
